Formes linéaires de logarithmes de points algébriques sur une courbe elliptique. (Linear forms of logarithms of algebraic points on an elliptic curve)

DOI10.5802/aif.1745zbMath0957.11030OpenAlexW2319119075MaRDI QIDQ1965850

Mohammed Ably

Publication date: 1 March 2000

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2000__50_1_1_0

zbMATH Keywords

Lang's conjectureelliptic curves with complex multiplicationelliptic curvelinear form of logarithms

Mathematics Subject Classification ID

Quadratic extensions (11R11) Elliptic curves (14H52) Complex multiplication and moduli of abelian varieties (11G15) Complex multiplication and abelian varieties (14K22) Transcendence theory of elliptic and abelian functions (11J89)

Related Items (3)

Diophantine approximation on elliptic curves with complex multiplication. ⋮ Elliptic Functions and Transcendence ⋮ Measures of linear independence of logarithms on a commutative algebraic group

Cites Work

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• Linear forms in logarithms on commutative algebraic groups
• Elliptic functions and transcendence
• Diophantine approximation on abelian varieties with complex multiplication
• Polynomial interpolation in several complex variables
• Lagrange polynomials over the integers of an imaginary quadratic field
• Logarithmic forms and group varieties.
• Lemmes de zéros dans les groupes algébriques commutatifs
• Minorations de formes linéaires de logarithmes elliptiques
• Linear forms in the logarithms of algebraic numbers

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